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Finding the Fourth Proportional to 304,305.59, 419,938.12 and 168,328.87

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Solution

The fourth proportional to 304,305.59, 419,938.12 and 168,328.87 is: 232,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,305.59 : 419,938.12 = 168,328.87 : x
  2. Step 2: Convert to fraction form
    304,305.59/419,938.12 = 168,328.87/x
  3. Step 3: Cross multiply
    304,305.59x = 419,938.12 × 168,328.87
  4. Step 4: Simplify right side
    304,305.59x = 70,687,708,370.09
  5. Step 5: Solve for x
    x = 70,687,708,370.09/304,305.59
  6. Step 6: Final answer
    x = 232,291.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.